Let x be the nonempty set and let a be a subset of x we, Ask an Expert

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Let X be the nonempty set and let A be a subset of X. We illustrate the characteristic function x_A ?X?{0, 1} of the set A by x_A (x)= {(1 if x?A 0 if x?A)

a.) Since this is called the characteristic function, it probably is a function, but check this carefully anyway.

b.) Determine the domain and range of this function. Make sure you look at all possibilities for A and X.

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Statistics and Probability, Statistics

Category:- Statistics and Probability
Reference No.:- M91144184

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